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Coefficient of linear expansion of brass and steel rods are α1 and α2. Lengths of brass and steel rods are l1 and l2 respectively. If (l2-l1) is maintained same at all temperatures, which one of the following relations holds good?

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a

α1l2 = α2l1

b

α1l22 = α2l12

c

α21l2 = α2l1

d

α1l1 = α2l2

answer is D.

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Detailed Solution

Change in length for both rods should be same ∆l1 = ∆l2l1α1∆T = l2α2∆Tl1α1 = l2α2

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Coefficient of linear expansion of brass and steel rods are α1 and α2. Lengths of brass and steel rods are l1 and l2 respectively. If (l2-l1) is maintained same at all temperatures, which one of the following relations holds good?